Theorem truanfal 1603

Description: A ∧ identity. (Contributed by Anthony Hart, 22-Oct-2010.)

Assertion

Ref	Expression
truanfal	⊢ ((⊤ ∧ ⊥) ↔ ⊥)

Proof of Theorem truanfal

Step	Hyp	Ref	Expression
1		truan 1580	1 ⊢ ((⊤ ∧ ⊥) ↔ ⊥)

This proof depends on syntax axioms:   ↔ wb 209   ∧ wa 400  ⊤wtru 1570  ⊥wfal 1581

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8

This proof depends on definitions:  df-bi 210  df-an 401  df-tru 1572

This theorem is used by:  trunanfal  1611